Journal of Mathematics and Applications
05/40, DOI: 10.7862/rf.2017.5
Measures of Noncompactness in a Banach Algebra and Their Applications
Szymon Dudek
DOI: 10.7862/rf.2017.5
Abstract
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the real half axis. Additionally, using the technique of measures of noncompactness we obtain some characterization of considered integral equation.We prove also an example illustrating the applicability of our approach.
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About this Article
TITLE:
Measures of Noncompactness in a Banach Algebra and Their Applications
AUTHORS:
Szymon Dudek
AUTHORS AFFILIATIONS:
Department of Nonlinear Analysis, Rzeszów University of Technology, Rzeszów, Poland
JOURNAL:
Journal of Mathematics and Applications
05/40
KEY WORDS AND PHRASES:
Banach algebra; Measure of noncompactness; Integral equation of fractional order; Fixed point theorem; Asymptotic stability; Ultimate monotonicity
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/54
DOI:
10.7862/rf.2017.5
URL:
http://dx.doi.org/10.7862/rf.2017.5
RECEIVED:
2016-12-12
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow